Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6004,2,Mod(1,6004)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6004, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6004.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6004 = 2^{2} \cdot 19 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6004.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(47.9421813736\) |
Analytic rank: | \(1\) |
Dimension: | \(25\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.17 | ||
Character | \(\chi\) | \(=\) | 6004.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.32467 | 0.764797 | 0.382399 | − | 0.923997i | \(-0.375098\pi\) | ||||
0.382399 | + | 0.923997i | \(0.375098\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.559509 | −0.250220 | −0.125110 | − | 0.992143i | \(-0.539928\pi\) | ||||
−0.125110 | + | 0.992143i | \(0.539928\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.61440 | 1.74408 | 0.872040 | − | 0.489434i | \(-0.162797\pi\) | ||||
0.872040 | + | 0.489434i | \(0.162797\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.24526 | −0.415085 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.22296 | −0.368735 | −0.184367 | − | 0.982857i | \(-0.559024\pi\) | ||||
−0.184367 | + | 0.982857i | \(0.559024\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.15292 | −1.15181 | −0.575907 | − | 0.817515i | \(-0.695351\pi\) | ||||
−0.575907 | + | 0.817515i | \(0.695351\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.741164 | −0.191368 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.51585 | −0.852718 | −0.426359 | − | 0.904554i | \(-0.640204\pi\) | ||||
−0.426359 | + | 0.904554i | \(0.640204\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 6.11255 | 1.33387 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.0473115 | −0.00986512 | −0.00493256 | − | 0.999988i | \(-0.501570\pi\) | ||||
−0.00493256 | + | 0.999988i | \(0.501570\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.68695 | −0.937390 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.62355 | −1.08225 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.43689 | 0.452519 | 0.226259 | − | 0.974067i | \(-0.427350\pi\) | ||||
0.226259 | + | 0.974067i | \(0.427350\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 9.63624 | 1.73072 | 0.865360 | − | 0.501151i | \(-0.167090\pi\) | ||||
0.865360 | + | 0.501151i | \(0.167090\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.62001 | −0.282007 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.58180 | −0.436404 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.465578 | 0.0765405 | 0.0382703 | − | 0.999267i | \(-0.487815\pi\) | ||||
0.0382703 | + | 0.999267i | \(0.487815\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.50124 | −0.880904 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.4863 | −1.63768 | −0.818840 | − | 0.574021i | \(-0.805383\pi\) | ||||
−0.818840 | + | 0.574021i | \(0.805383\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11.4150 | −1.74077 | −0.870385 | − | 0.492371i | \(-0.836130\pi\) | ||||
−0.870385 | + | 0.492371i | \(0.836130\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.696732 | 0.103863 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.63127 | −0.821405 | −0.410702 | − | 0.911770i | \(-0.634716\pi\) | ||||
−0.410702 | + | 0.911770i | \(0.634716\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 14.2927 | 2.04182 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.65733 | −0.652157 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.488772 | −0.0671380 | −0.0335690 | − | 0.999436i | \(-0.510687\pi\) | ||||
−0.0335690 | + | 0.999436i | \(0.510687\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.684255 | 0.0922650 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.32467 | −0.175457 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.83018 | −0.238269 | −0.119134 | − | 0.992878i | \(-0.538012\pi\) | ||||
−0.119134 | + | 0.992878i | \(0.538012\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.23991 | −0.158754 | −0.0793769 | − | 0.996845i | \(-0.525293\pi\) | ||||
−0.0793769 | + | 0.996845i | \(0.525293\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.74611 | −0.723942 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.32360 | 0.288207 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.1066 | 1.35688 | 0.678441 | − | 0.734655i | \(-0.262656\pi\) | ||||
0.678441 | + | 0.734655i | \(0.262656\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.0626720 | −0.00754482 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −14.2873 | −1.69559 | −0.847795 | − | 0.530324i | \(-0.822070\pi\) | ||||
−0.847795 | + | 0.530324i | \(0.822070\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.01017 | 0.586396 | 0.293198 | − | 0.956052i | \(-0.405280\pi\) | ||||
0.293198 | + | 0.956052i | \(0.405280\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −6.20865 | −0.716913 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.64321 | −0.643104 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.00000 | 0.112509 | ||||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.71357 | −0.412619 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −14.2215 | −1.56101 | −0.780507 | − | 0.625147i | \(-0.785039\pi\) | ||||
−0.780507 | + | 0.625147i | \(0.785039\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.96715 | 0.213367 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.22807 | 0.346085 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.30400 | −0.774222 | −0.387111 | − | 0.922033i | \(-0.626527\pi\) | ||||
−0.387111 | + | 0.922033i | \(0.626527\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −19.1633 | −2.00886 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 12.7648 | 1.32365 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.559509 | 0.0574045 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.2966 | −1.14700 | −0.573499 | − | 0.819206i | \(-0.694415\pi\) | ||||
−0.573499 | + | 0.819206i | \(0.694415\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.52289 | 0.153056 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 14.6789 | 1.46060 | 0.730302 | − | 0.683124i | \(-0.239379\pi\) | ||||
0.730302 | + | 0.683124i | \(0.239379\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.26007 | 0.321224 | 0.160612 | − | 0.987018i | \(-0.448653\pi\) | ||||
0.160612 | + | 0.987018i | \(0.448653\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.42003 | −0.333761 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.22541 | −0.891854 | −0.445927 | − | 0.895069i | \(-0.647126\pi\) | ||||
−0.445927 | + | 0.895069i | \(0.647126\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.88996 | 0.564156 | 0.282078 | − | 0.959391i | \(-0.408976\pi\) | ||||
0.282078 | + | 0.959391i | \(0.408976\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.616736 | 0.0585380 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.70267 | 0.254246 | 0.127123 | − | 0.991887i | \(-0.459426\pi\) | ||||
0.127123 | + | 0.991887i | \(0.459426\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0264712 | 0.00246845 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 5.17145 | 0.478101 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −16.2235 | −1.48721 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.50438 | −0.864035 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −13.8908 | −1.25249 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.41994 | 0.484774 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.12290 | 0.277113 | 0.138556 | − | 0.990355i | \(-0.455754\pi\) | ||||
0.138556 | + | 0.990355i | \(0.455754\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −15.1211 | −1.33134 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.71439 | 0.411898 | 0.205949 | − | 0.978563i | \(-0.433972\pi\) | ||||
0.205949 | + | 0.978563i | \(0.433972\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.61440 | −0.400120 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.14643 | 0.270802 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.04312 | −0.772606 | −0.386303 | − | 0.922372i | \(-0.626248\pi\) | ||||
−0.386303 | + | 0.922372i | \(0.626248\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.4865 | −1.31355 | −0.656774 | − | 0.754087i | \(-0.728080\pi\) | ||||
−0.656774 | + | 0.754087i | \(0.728080\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.45956 | −0.628208 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 5.07884 | 0.424714 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.36346 | −0.113229 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 18.9331 | 1.56158 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.93131 | −0.403988 | −0.201994 | − | 0.979387i | \(-0.564742\pi\) | ||||
−0.201994 | + | 0.979387i | \(0.564742\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.7734 | −1.03948 | −0.519742 | − | 0.854323i | \(-0.673972\pi\) | ||||
−0.519742 | + | 0.854323i | \(0.673972\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.37813 | 0.353951 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.39157 | −0.433061 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.1468 | 1.12904 | 0.564520 | − | 0.825419i | \(-0.309061\pi\) | ||||
0.564520 | + | 0.825419i | \(0.309061\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.647461 | −0.0513470 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.218314 | −0.0172056 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.46483 | 0.741342 | 0.370671 | − | 0.928764i | \(-0.379128\pi\) | ||||
0.370671 | + | 0.928764i | \(0.379128\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.906411 | 0.0705640 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.66094 | −0.747586 | −0.373793 | − | 0.927512i | \(-0.621943\pi\) | ||||
−0.373793 | + | 0.927512i | \(0.621943\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.24676 | 0.326674 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.24526 | 0.0952271 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 20.8594 | 1.58591 | 0.792955 | − | 0.609281i | \(-0.208542\pi\) | ||||
0.792955 | + | 0.609281i | \(0.208542\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −21.6275 | −1.63488 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.42438 | −0.182227 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.43749 | 0.630648 | 0.315324 | − | 0.948984i | \(-0.397887\pi\) | ||||
0.315324 | + | 0.948984i | \(0.397887\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.8275 | −1.10212 | −0.551059 | − | 0.834466i | \(-0.685776\pi\) | ||||
−0.551059 | + | 0.834466i | \(0.685776\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.64246 | −0.121414 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.260495 | −0.0191520 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.29973 | 0.314427 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −25.9493 | −1.88754 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.10583 | 0.586517 | 0.293259 | − | 0.956033i | \(-0.405260\pi\) | ||||
0.293259 | + | 0.956033i | \(0.405260\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.6151 | −1.12400 | −0.562000 | − | 0.827137i | \(-0.689968\pi\) | ||||
−0.562000 | + | 0.827137i | \(0.689968\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.07800 | 0.220420 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 16.3818 | 1.16716 | 0.583579 | − | 0.812056i | \(-0.301652\pi\) | ||||
0.583579 | + | 0.812056i | \(0.301652\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.15732 | −0.152928 | −0.0764640 | − | 0.997072i | \(-0.524363\pi\) | ||||
−0.0764640 | + | 0.997072i | \(0.524363\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.7125 | 1.03774 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 11.2448 | 0.789229 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.86717 | 0.409781 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.0589149 | 0.00409487 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.22296 | 0.0845936 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.15067 | −0.216901 | −0.108451 | − | 0.994102i | \(-0.534589\pi\) | ||||
−0.108451 | + | 0.994102i | \(0.534589\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −18.9259 | −1.29678 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.38680 | 0.435576 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 44.4655 | 3.01852 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.63681 | 0.448474 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.6010 | 0.982172 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.7673 | 1.05585 | 0.527927 | − | 0.849290i | \(-0.322969\pi\) | ||||
0.527927 | + | 0.849290i | \(0.322969\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.83645 | 0.389097 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −20.7491 | −1.37716 | −0.688582 | − | 0.725159i | \(-0.741766\pi\) | ||||
−0.688582 | + | 0.725159i | \(0.741766\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.5450 | 0.961161 | 0.480581 | − | 0.876951i | \(-0.340426\pi\) | ||||
0.480581 | + | 0.876951i | \(0.340426\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.47538 | −0.491844 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19.4721 | 1.27566 | 0.637829 | − | 0.770178i | \(-0.279833\pi\) | ||||
0.637829 | + | 0.770178i | \(0.279833\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.15075 | 0.205532 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.32467 | 0.0860464 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 18.6860 | 1.20870 | 0.604348 | − | 0.796720i | \(-0.293434\pi\) | ||||
0.604348 | + | 0.796720i | \(0.293434\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.7621 | −0.757662 | −0.378831 | − | 0.925466i | \(-0.623674\pi\) | ||||
−0.378831 | + | 0.925466i | \(0.623674\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.9514 | 0.766683 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.99691 | −0.510904 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.15292 | 0.264244 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −18.8388 | −1.19386 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.835572 | −0.0527408 | −0.0263704 | − | 0.999652i | \(-0.508395\pi\) | ||||
−0.0263704 | + | 0.999652i | \(0.508395\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0578598 | 0.00363762 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.60582 | 0.163183 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −8.84356 | −0.551646 | −0.275823 | − | 0.961208i | \(-0.588950\pi\) | ||||
−0.275823 | + | 0.961208i | \(0.588950\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.14836 | 0.133493 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.03455 | −0.187834 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −11.3052 | −0.697111 | −0.348555 | − | 0.937288i | \(-0.613328\pi\) | ||||
−0.348555 | + | 0.937288i | \(0.613328\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.273473 | 0.0167993 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −9.67537 | −0.592123 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 16.2614 | 0.991473 | 0.495736 | − | 0.868473i | \(-0.334898\pi\) | ||||
0.495736 | + | 0.868473i | \(0.334898\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.68191 | 0.588134 | 0.294067 | − | 0.955785i | \(-0.404991\pi\) | ||||
0.294067 | + | 0.955785i | \(0.404991\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −25.3849 | −1.53637 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.73193 | 0.345648 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 21.8545 | 1.31311 | 0.656553 | − | 0.754280i | \(-0.272014\pi\) | ||||
0.656553 | + | 0.754280i | \(0.272014\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −11.9996 | −0.718396 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.71302 | −0.460120 | −0.230060 | − | 0.973176i | \(-0.573892\pi\) | ||||
−0.230060 | + | 0.973176i | \(0.573892\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.5401 | −0.685985 | −0.342993 | − | 0.939338i | \(-0.611441\pi\) | ||||
−0.342993 | + | 0.939338i | \(0.611441\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.741164 | 0.0439028 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −48.3879 | −2.85625 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.63882 | −0.272872 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −14.9643 | −0.877222 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −32.4078 | −1.89329 | −0.946643 | − | 0.322285i | \(-0.895549\pi\) | ||||
−0.946643 | + | 0.322285i | \(0.895549\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.02400 | 0.0596197 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.87736 | 0.399065 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.196481 | 0.0113628 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −52.6734 | −3.03604 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 19.4447 | 1.11707 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.693739 | 0.0397234 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.0863 | 0.918094 | 0.459047 | − | 0.888412i | \(-0.348191\pi\) | ||||
0.459047 | + | 0.888412i | \(0.348191\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.31851 | 0.245671 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.86961 | −0.106016 | −0.0530080 | − | 0.998594i | \(-0.516881\pi\) | ||||
−0.0530080 | + | 0.998594i | \(0.516881\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.9742 | 1.24205 | 0.621027 | − | 0.783789i | \(-0.286716\pi\) | ||||
0.621027 | + | 0.783789i | \(0.286716\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.21500 | 0.181145 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 27.3044 | 1.53357 | 0.766783 | − | 0.641906i | \(-0.221856\pi\) | ||||
0.766783 | + | 0.641906i | \(0.221856\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.98021 | −0.166860 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −12.2206 | −0.682088 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.51585 | 0.195627 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 19.4645 | 1.07970 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.80224 | 0.431465 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −25.9849 | −1.43260 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.6619 | −1.13568 | −0.567841 | − | 0.823138i | \(-0.692221\pi\) | ||||
−0.567841 | + | 0.823138i | \(0.692221\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.579763 | −0.0317708 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.21422 | −0.339519 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −33.6223 | −1.83152 | −0.915761 | − | 0.401723i | \(-0.868411\pi\) | ||||
−0.915761 | + | 0.401723i | \(0.868411\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.58014 | 0.194447 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −11.7847 | −0.638177 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 33.6516 | 1.81701 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.0350656 | 0.00188787 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −20.2019 | −1.08450 | −0.542248 | − | 0.840219i | \(-0.682427\pi\) | ||||
−0.542248 | + | 0.840219i | \(0.682427\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.7121 | 1.21575 | 0.607875 | − | 0.794033i | \(-0.292022\pi\) | ||||
0.607875 | + | 0.794033i | \(0.292022\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 23.3542 | 1.24655 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.8430 | 1.00291 | 0.501455 | − | 0.865184i | \(-0.332798\pi\) | ||||
0.501455 | + | 0.865184i | \(0.332798\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.99388 | 0.424271 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −21.4908 | −1.13741 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −21.9617 | −1.15910 | −0.579548 | − | 0.814938i | \(-0.696771\pi\) | ||||
−0.579548 | + | 0.814938i | \(0.696771\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −12.5901 | −0.660811 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.80324 | −0.146728 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.89811 | −0.516677 | −0.258338 | − | 0.966054i | \(-0.583175\pi\) | ||||
−0.258338 | + | 0.966054i | \(0.583175\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 13.0581 | 0.679777 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.25539 | −0.117094 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −23.4530 | −1.21435 | −0.607175 | − | 0.794568i | \(-0.707697\pi\) | ||||
−0.607175 | + | 0.794568i | \(0.707697\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.17962 | 0.370754 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −10.1202 | −0.521217 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.3601 | 0.737629 | 0.368815 | − | 0.929503i | \(-0.379764\pi\) | ||||
0.368815 | + | 0.929503i | \(0.379764\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.13681 | 0.211935 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.3562 | 0.580274 | 0.290137 | − | 0.956985i | \(-0.406299\pi\) | ||||
0.290137 | + | 0.956985i | \(0.406299\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.15743 | 0.160918 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 14.2146 | 0.722568 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −11.2439 | −0.570087 | −0.285043 | − | 0.958515i | \(-0.592008\pi\) | ||||
−0.285043 | + | 0.958515i | \(0.592008\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.166340 | 0.00841217 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 6.24499 | 0.315018 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.559509 | −0.0281520 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.51636 | 0.276858 | 0.138429 | − | 0.990372i | \(-0.455795\pi\) | ||||
0.138429 | + | 0.990372i | \(0.455795\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.11255 | −0.306010 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −29.3633 | −1.46633 | −0.733166 | − | 0.680050i | \(-0.761958\pi\) | ||||
−0.733166 | + | 0.680050i | \(0.761958\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −40.0185 | −1.99347 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 2.07778 | 0.103246 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.569381 | −0.0282232 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.6435 | 0.971307 | 0.485653 | − | 0.874152i | \(-0.338582\pi\) | ||||
0.485653 | + | 0.874152i | \(0.338582\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.9791 | −0.590887 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −8.44518 | −0.415560 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.95707 | 0.390597 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −20.5145 | −1.00460 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.9281 | −0.924700 | −0.462350 | − | 0.886697i | \(-0.652994\pi\) | ||||
−0.462350 | + | 0.886697i | \(0.652994\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.538550 | −0.0262473 | −0.0131237 | − | 0.999914i | \(-0.504178\pi\) | ||||
−0.0131237 | + | 0.999914i | \(0.504178\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.01236 | 0.340953 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 16.4786 | 0.799329 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.72143 | −0.276879 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.72777 | 0.324820 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.8396 | 0.570292 | 0.285146 | − | 0.958484i | \(-0.407958\pi\) | ||||
0.285146 | + | 0.958484i | \(0.407958\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.18547 | 0.0569700 | 0.0284850 | − | 0.999594i | \(-0.490932\pi\) | ||||
0.0284850 | + | 0.999594i | \(0.490932\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.80613 | −0.0865975 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.0473115 | 0.00226321 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −38.8818 | −1.85573 | −0.927863 | − | 0.372921i | \(-0.878356\pi\) | ||||
−0.927863 | + | 0.372921i | \(0.878356\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.7981 | −0.847528 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 39.6056 | 1.88172 | 0.940859 | − | 0.338798i | \(-0.110020\pi\) | ||||
0.940859 | + | 0.338798i | \(0.110020\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.08665 | 0.193726 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.53234 | −0.308969 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.9386 | −0.893767 | −0.446883 | − | 0.894592i | \(-0.647466\pi\) | ||||
−0.446883 | + | 0.894592i | \(0.647466\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.8242 | 0.603870 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −16.9205 | −0.794995 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 10.7220 | 0.502656 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.53642 | −0.165427 | −0.0827133 | − | 0.996573i | \(-0.526359\pi\) | ||||
−0.0827133 | + | 0.996573i | \(0.526359\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 19.7716 | 0.922857 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.2480 | −0.663598 | −0.331799 | − | 0.943350i | \(-0.607656\pi\) | ||||
−0.331799 | + | 0.943350i | \(0.607656\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.3849 | 0.854421 | 0.427210 | − | 0.904152i | \(-0.359496\pi\) | ||||
0.427210 | + | 0.904152i | \(0.359496\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.14204 | −0.331204 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.7556 | −0.775355 | −0.387678 | − | 0.921795i | \(-0.626723\pi\) | ||||
−0.387678 | + | 0.921795i | \(0.626723\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 51.2501 | 2.36651 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 18.7399 | 0.863487 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 13.9600 | 0.641883 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.68695 | 0.215052 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.608646 | 0.0278680 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −27.9174 | −1.27558 | −0.637788 | − | 0.770212i | \(-0.720151\pi\) | ||||
−0.637788 | + | 0.770212i | \(0.720151\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.93351 | −0.0881604 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.289194 | −0.0131588 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.32057 | 0.287002 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.68782 | 0.348368 | 0.174184 | − | 0.984713i | \(-0.444271\pi\) | ||||
0.174184 | + | 0.984713i | \(0.444271\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 12.5378 | 0.566977 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.4279 | −0.651123 | −0.325562 | − | 0.945521i | \(-0.605553\pi\) | ||||
−0.325562 | + | 0.945521i | \(0.605553\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.56773 | −0.385871 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.852072 | −0.0382978 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −65.9274 | −2.95725 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −24.9439 | −1.11664 | −0.558320 | − | 0.829626i | \(-0.688554\pi\) | ||||
−0.558320 | + | 0.829626i | \(0.688554\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.7975 | −0.571752 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −35.7299 | −1.59312 | −0.796558 | − | 0.604562i | \(-0.793348\pi\) | ||||
−0.796558 | + | 0.604562i | \(0.793348\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.21298 | −0.365473 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 5.62554 | 0.249839 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 18.1728 | 0.805493 | 0.402747 | − | 0.915311i | \(-0.368056\pi\) | ||||
0.402747 | + | 0.915311i | \(0.368056\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.1189 | 1.02272 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.62355 | 0.248286 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.82404 | −0.0803768 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.88679 | 0.302881 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 27.6318 | 1.21290 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.14603 | −0.356884 | −0.178442 | − | 0.983950i | \(-0.557106\pi\) | ||||
−0.178442 | + | 0.983950i | \(0.557106\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.6470 | 0.640471 | 0.320235 | − | 0.947338i | \(-0.396238\pi\) | ||||
0.320235 | + | 0.947338i | \(0.396238\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −28.6492 | −1.25035 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −33.8795 | −1.47582 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9978 | −0.999903 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.27904 | 0.0989018 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 43.5487 | 1.88630 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.16171 | 0.223160 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 11.1769 | 0.482318 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −17.4794 | −0.752890 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.3124 | −0.873298 | −0.436649 | − | 0.899632i | \(-0.643835\pi\) | ||||
−0.436649 | + | 0.899632i | \(0.643835\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −19.6415 | −0.842897 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.29549 | −0.141163 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.70587 | −0.329479 | −0.164740 | − | 0.986337i | \(-0.552678\pi\) | ||||
−0.164740 | + | 0.986337i | \(0.552678\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.54400 | 0.0658963 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.43689 | −0.103815 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.61440 | 0.196224 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.345069 | −0.0146474 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 11.4245 | 0.484071 | 0.242035 | − | 0.970267i | \(-0.422185\pi\) | ||||
0.242035 | + | 0.970267i | \(0.422185\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 47.4056 | 2.00504 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.69571 | 0.240473 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.509966 | −0.0214925 | −0.0107463 | − | 0.999942i | \(-0.503421\pi\) | ||||
−0.0107463 | + | 0.999942i | \(0.503421\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.51217 | −0.0636175 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −17.1359 | −0.719641 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 38.1228 | 1.59819 | 0.799096 | − | 0.601204i | \(-0.205312\pi\) | ||||
0.799096 | + | 0.601204i | \(0.205312\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.8778 | 0.538921 | 0.269460 | − | 0.963011i | \(-0.413155\pi\) | ||||
0.269460 | + | 0.963011i | \(0.413155\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.7375 | 0.448567 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.221746 | 0.00924746 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.07288 | 0.0446646 | 0.0223323 | − | 0.999751i | \(-0.492891\pi\) | ||||
0.0223323 | + | 0.999751i | \(0.492891\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −20.6848 | −0.859632 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −65.6238 | −2.72253 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.597747 | 0.0247561 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.89347 | −0.119630 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −17.1600 | −0.708270 | −0.354135 | − | 0.935194i | \(-0.615225\pi\) | ||||
−0.354135 | + | 0.935194i | \(0.615225\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.63624 | −0.397054 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 21.7005 | 0.892640 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.0479 | −0.535813 | −0.267906 | − | 0.963445i | \(-0.586332\pi\) | ||||
−0.267906 | + | 0.963445i | \(0.586332\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.07722 | 0.372130 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.85773 | −0.116959 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 33.6344 | 1.37427 | 0.687133 | − | 0.726532i | \(-0.258869\pi\) | ||||
0.687133 | + | 0.726532i | \(0.258869\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −36.7673 | −1.49977 | −0.749884 | − | 0.661569i | \(-0.769891\pi\) | ||||
−0.749884 | + | 0.661569i | \(0.769891\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −13.8305 | −0.563221 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.31779 | 0.216199 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.64360 | −0.188478 | −0.0942390 | − | 0.995550i | \(-0.530042\pi\) | ||||
−0.0942390 | + | 0.995550i | \(0.530042\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 14.8956 | 0.603600 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 23.3862 | 0.946105 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.43345 | 0.340624 | 0.170312 | − | 0.985390i | \(-0.445522\pi\) | ||||
0.170312 | + | 0.985390i | \(0.445522\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.77205 | 0.313399 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −48.5749 | −1.95555 | −0.977777 | − | 0.209650i | \(-0.932768\pi\) | ||||
−0.977777 | + | 0.209650i | \(0.932768\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 43.6820 | 1.75573 | 0.877863 | − | 0.478912i | \(-0.158969\pi\) | ||||
0.877863 | + | 0.478912i | \(0.158969\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.266059 | 0.0106766 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −33.7036 | −1.35031 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.4022 | 0.816090 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.62001 | 0.0646970 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.63690 | −0.0652675 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.36137 | −0.253242 | −0.126621 | − | 0.991951i | \(-0.540413\pi\) | ||||
−0.126621 | + | 0.991951i | \(0.540413\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.17359 | −0.165885 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.74729 | −0.0693392 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −59.3566 | −2.35179 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 17.7913 | 0.703814 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.3986 | 0.529211 | 0.264605 | − | 0.964357i | \(-0.414758\pi\) | ||||
0.264605 | + | 0.964357i | \(0.414758\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 33.0080 | 1.30171 | 0.650854 | − | 0.759203i | \(-0.274411\pi\) | ||||
0.650854 | + | 0.759203i | \(0.274411\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.46039 | 0.333127 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −45.2131 | −1.77751 | −0.888754 | − | 0.458384i | \(-0.848429\pi\) | ||||
−0.888754 | + | 0.458384i | \(0.848429\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.23822 | 0.0878580 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 58.9020 | 2.30855 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −3.31559 | −0.129749 | −0.0648746 | − | 0.997893i | \(-0.520665\pi\) | ||||
−0.0648746 | + | 0.997893i | \(0.520665\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.63774 | −0.103065 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −6.23894 | −0.243404 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 29.2922 | 1.14106 | 0.570531 | − | 0.821276i | \(-0.306737\pi\) | ||||
0.570531 | + | 0.821276i | \(0.306737\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.1065 | 0.820948 | 0.410474 | − | 0.911872i | \(-0.365363\pi\) | ||||
0.410474 | + | 0.911872i | \(0.365363\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 19.3415 | 0.751163 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.58180 | 0.100118 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.115293 | −0.00446415 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 20.8864 | 0.807514 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.51635 | 0.0585380 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 36.9826 | 1.42557 | 0.712787 | − | 0.701381i | \(-0.247433\pi\) | ||||
0.712787 | + | 0.701381i | \(0.247433\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 26.3573 | 1.01449 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.64796 | 0.255502 | 0.127751 | − | 0.991806i | \(-0.459224\pi\) | ||||
0.127751 | + | 0.991806i | \(0.459224\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −52.1272 | −2.00046 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −27.4856 | −1.05325 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 30.0248 | 1.14887 | 0.574434 | − | 0.818551i | \(-0.305222\pi\) | ||||
0.574434 | + | 0.818551i | \(0.305222\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.05971 | 0.193322 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 19.2673 | 0.735094 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.02983 | 0.0773305 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.5241 | 0.742734 | 0.371367 | − | 0.928486i | \(-0.378889\pi\) | ||||
0.371367 | + | 0.928486i | \(0.378889\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 7.02724 | 0.266943 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 8.66485 | 0.328677 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 36.8681 | 1.39648 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 25.7940 | 0.975619 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.27584 | 0.237035 | 0.118518 | − | 0.992952i | \(-0.462186\pi\) | ||||
0.118518 | + | 0.992952i | \(0.462186\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.465578 | −0.0175596 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.17369 | 0.157190 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 67.7343 | 2.54741 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −28.4572 | −1.06873 | −0.534366 | − | 0.845253i | \(-0.679450\pi\) | ||||
−0.534366 | + | 0.845253i | \(0.679450\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.24526 | −0.0467007 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.455905 | −0.0170738 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.84166 | −0.106272 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 24.7527 | 0.924408 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −41.8197 | −1.55961 | −0.779806 | − | 0.626021i | \(-0.784682\pi\) | ||||
−0.779806 | + | 0.626021i | \(0.784682\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 15.0433 | 0.560241 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −15.5808 | −0.579458 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −11.4216 | −0.424187 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 38.3026 | 1.42056 | 0.710282 | − | 0.703918i | \(-0.248568\pi\) | ||||
0.710282 | + | 0.703918i | \(0.248568\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.9724 | 0.998976 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 40.1334 | 1.48439 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.6454 | −0.762554 | −0.381277 | − | 0.924461i | \(-0.624516\pi\) | ||||
−0.381277 | + | 0.924461i | \(0.624516\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −10.5933 | −0.390738 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −13.5828 | −0.500330 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.2867 | 0.709473 | 0.354736 | − | 0.934966i | \(-0.384571\pi\) | ||||
0.354736 | + | 0.934966i | \(0.384571\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.50124 | 0.202093 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.45431 | 0.273472 | 0.136736 | − | 0.990608i | \(-0.456339\pi\) | ||||
0.136736 | + | 0.990608i | \(0.456339\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.75911 | 0.101086 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 17.7094 | 0.647953 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −42.5698 | −1.55547 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 49.1641 | 1.79402 | 0.897012 | − | 0.442006i | \(-0.145733\pi\) | ||||
0.897012 | + | 0.442006i | \(0.145733\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.10686 | −0.0403361 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 7.14684 | 0.260100 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −51.8672 | −1.88514 | −0.942572 | − | 0.334003i | \(-0.891601\pi\) | ||||
−0.942572 | + | 0.334003i | \(0.891601\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.0766450 | 0.00278204 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.0459 | 1.08916 | 0.544582 | − | 0.838708i | \(-0.316688\pi\) | ||||
0.544582 | + | 0.838708i | \(0.316688\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 27.1787 | 0.983934 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.44960 | −0.0885656 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 7.60058 | 0.274441 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.01146 | 0.324962 | 0.162481 | − | 0.986712i | \(-0.448050\pi\) | ||||
0.162481 | + | 0.986712i | \(0.448050\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.7148 | −0.421897 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.1037 | 0.363406 | 0.181703 | − | 0.983353i | \(-0.441839\pi\) | ||||
0.181703 | + | 0.983353i | \(0.441839\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −45.1646 | −1.62236 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.84587 | 0.102095 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.4863 | 0.375710 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.4727 | 0.625223 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13.7040 | −0.489740 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.91529 | −0.282509 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 49.6757 | 1.77075 | 0.885373 | − | 0.464881i | \(-0.153903\pi\) | ||||
0.885373 | + | 0.464881i | \(0.153903\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −14.9757 | −0.533148 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.4712 | 0.443425 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.14923 | 0.182855 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.362261 | 0.0128481 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 34.2213 | 1.21218 | 0.606091 | − | 0.795395i | \(-0.292737\pi\) | ||||
0.606091 | + | 0.795395i | \(0.292737\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19.7987 | 0.700427 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 9.09534 | 0.321368 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.12721 | −0.216225 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.122149 | 0.00430518 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 21.5409 | 0.758276 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −29.4763 | −1.03633 | −0.518166 | − | 0.855280i | \(-0.673385\pi\) | ||||
−0.518166 | + | 0.855280i | \(0.673385\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −10.4739 | −0.367789 | −0.183895 | − | 0.982946i | \(-0.558871\pi\) | ||||
−0.183895 | + | 0.982946i | \(0.558871\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 12.8253 | 0.449804 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.29566 | −0.185499 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.4150 | 0.399360 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 23.8631 | 0.833846 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −41.9290 | −1.46333 | −0.731666 | − | 0.681663i | \(-0.761257\pi\) | ||||
−0.731666 | + | 0.681663i | \(0.761257\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −37.5051 | −1.30735 | −0.653674 | − | 0.756777i | \(-0.726773\pi\) | ||||
−0.653674 | + | 0.756777i | \(0.726773\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.59290 | 0.264351 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 14.2808 | 0.496592 | 0.248296 | − | 0.968684i | \(-0.420129\pi\) | ||||
0.248296 | + | 0.968684i | \(0.420129\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.9066 | 0.517726 | 0.258863 | − | 0.965914i | \(-0.416652\pi\) | ||||
0.258863 | + | 0.965914i | \(0.416652\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 28.9499 | 1.00426 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −50.2510 | −1.74110 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.40539 | 0.187061 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −54.1899 | −1.87308 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 48.1732 | 1.66312 | 0.831562 | − | 0.555432i | \(-0.187447\pi\) | ||||
0.831562 | + | 0.555432i | \(0.187447\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.0616 | −0.795227 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.2172 | −0.351899 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.37610 | −0.0817404 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −43.8570 | −1.50695 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −15.2867 | −0.524640 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.0220272 | −0.000755081 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.1947 | 0.520258 | 0.260129 | − | 0.965574i | \(-0.416235\pi\) | ||||
0.260129 | + | 0.965574i | \(0.416235\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.696732 | −0.0238277 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 46.1113 | 1.57513 | 0.787567 | − | 0.616229i | \(-0.211341\pi\) | ||||
0.787567 | + | 0.616229i | \(0.211341\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.3282 | 0.454753 | 0.227377 | − | 0.973807i | \(-0.426985\pi\) | ||||
0.227377 | + | 0.973807i | \(0.426985\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −64.0979 | −2.18445 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −34.6256 | −1.17867 | −0.589335 | − | 0.807889i | \(-0.700610\pi\) | ||||
−0.589335 | + | 0.807889i | \(0.700610\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.6710 | −0.396827 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.14489 | −0.208691 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.22296 | −0.0414859 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −46.1247 | −1.56287 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 14.0672 | 0.476102 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 25.0098 | 0.845485 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.00362 | 0.101425 | 0.0507126 | − | 0.998713i | \(-0.483851\pi\) | ||||
0.0507126 | + | 0.998713i | \(0.483851\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −42.9296 | −1.44798 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 8.88260 | 0.299262 | 0.149631 | − | 0.988742i | \(-0.452191\pi\) | ||||
0.149631 | + | 0.988742i | \(0.452191\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.55538 | −0.0859954 | −0.0429977 | − | 0.999075i | \(-0.513691\pi\) | ||||
−0.0429977 | + | 0.999075i | \(0.513691\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.35646 | 0.0455970 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −36.1162 | −1.21266 | −0.606332 | − | 0.795211i | \(-0.707360\pi\) | ||||
−0.606332 | + | 0.795211i | \(0.707360\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 14.4103 | 0.483307 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.54153 | 0.152147 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.63127 | 0.188443 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.72086 | −0.157801 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.260272 | 0.00869022 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 23.4824 | 0.783183 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.71845 | 0.0572498 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −69.7748 | −2.32196 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8.29612 | 0.275772 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.0396 | −0.698609 | −0.349305 | − | 0.937009i | \(-0.613582\pi\) | ||||
−0.349305 | + | 0.937009i | \(0.613582\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −18.2790 | −0.606275 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −8.98196 | −0.297585 | −0.148793 | − | 0.988868i | \(-0.547539\pi\) | ||||
−0.148793 | + | 0.988868i | \(0.547539\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.3923 | 0.575600 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.918974 | 0.0303803 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 21.7541 | 0.718383 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 32.1506 | 1.06055 | 0.530275 | − | 0.847825i | \(-0.322089\pi\) | ||||
0.530275 | + | 0.847825i | \(0.322089\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 21.3090 | 0.702156 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 59.3340 | 1.95300 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.18214 | −0.0717483 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.05962 | −0.133335 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −18.5445 | −0.608426 | −0.304213 | − | 0.952604i | \(-0.598393\pi\) | ||||
−0.304213 | + | 0.952604i | \(0.598393\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.2927 | −0.468425 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.47662 | −0.0810808 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.40574 | −0.0786760 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −50.9837 | −1.66556 | −0.832782 | − | 0.553601i | \(-0.813253\pi\) | ||||
−0.832782 | + | 0.553601i | \(0.813253\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 29.1085 | 0.949919 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.3782 | 0.468715 | 0.234358 | − | 0.972150i | \(-0.424701\pi\) | ||||
0.234358 | + | 0.972150i | \(0.424701\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.496121 | 0.0161559 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 14.5189 | 0.472300 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −35.8756 | −1.16580 | −0.582901 | − | 0.812543i | \(-0.698082\pi\) | ||||
−0.582901 | + | 0.812543i | \(0.698082\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.8068 | −0.675419 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 36.1692 | 1.17287 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.1923 | −0.848450 | −0.424225 | − | 0.905557i | \(-0.639454\pi\) | ||||
−0.424225 | + | 0.905557i | \(0.639454\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.53529 | −0.146758 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.94778 | −0.127614 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −41.7286 | −1.34749 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 61.8571 | 1.99539 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.4880 | 0.370196 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.73680 | 0.281248 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 40.3371 | 1.29715 | 0.648577 | − | 0.761149i | \(-0.275365\pi\) | ||||
0.648577 | + | 0.761149i | \(0.275365\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.65733 | 0.149615 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −56.7807 | −1.82218 | −0.911089 | − | 0.412209i | \(-0.864757\pi\) | ||||
−0.911089 | + | 0.412209i | \(0.864757\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −71.4610 | −2.29094 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 25.7840 | 0.825750 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.41925 | −0.0454057 | −0.0227029 | − | 0.999742i | \(-0.507227\pi\) | ||||
−0.0227029 | + | 0.999742i | \(0.507227\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.93246 | 0.285483 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.33451 | −0.234173 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −29.7135 | −0.947713 | −0.473856 | − | 0.880602i | \(-0.657138\pi\) | ||||
−0.473856 | + | 0.880602i | \(0.657138\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −9.16580 | −0.292047 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −34.4214 | −1.09565 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.540060 | 0.0171729 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 32.4649 | 1.03128 | 0.515641 | − | 0.856805i | \(-0.327554\pi\) | ||||
0.515641 | + | 0.856805i | \(0.327554\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −27.3702 | −0.868567 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.20704 | 0.0382657 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.18573 | 0.227574 | 0.113787 | − | 0.993505i | \(-0.463702\pi\) | ||||
0.113787 | + | 0.993505i | \(0.463702\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.61820 | −0.0828362 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 6004.2.a.f.1.17 | ✓ | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6004.2.a.f.1.17 | ✓ | 25 | 1.1 | even | 1 | trivial |